1.) Grandma takes five minutes to climb from the first floor of the building to the fifth. If she climbs at the same speed, how long will it take her to reach the ninth floor from the first?
2.) Juan and Candice are using a spring scale to weigh their book bags. When they are weighed separately, the scale shows 3lbs and 2lbs. When they weight them together, the scale shows 6lbs.
"That can't be right," said Candice. "Two plus three doesn't equal six!"
"Don't you see?" answered Juan. "The pointer on the scale is off."
How much do the book bags actually weigh?
3.) Use the fingers of one hand to count as follows: the thumb is first, the index finger is second, and so on to the pinkie which is fifth. Then reverse direction so that the ring finger is sixth, the middle finger is seventh, the index finger is eighth, and the thumb is ninth. Reverse direction again back toward the pinkie with the index finger tenth, and so on. If you continue to count back and forth along the fingers of one hand, which finger will be the 1000th one?
4.) A dot is marked in a circle. (a) Cut the circle into at most three parts so that, by rearranging the parts, you get a circle with its center at the dot. (b) is it possible to do so by cutting the circle into at most two parts?
5.) A brother leaves his house 5 minutes after his sister. If he walks at 1.5 times her speed, how long will it take him to catch up?
6.) The diagram shows the rolling track of a bulldozer, seen from the side. The bottom is in contact with the ground. If the bulldozer moves forward 10cm, how many centimeters does the point marked A move?
7.) Together Winnie the Pooh, Owl, Rabbit, and Piglet ate 70 bananas. Each ate a whole number of bananas, and each ate at least one. Pooh ate more than each of the others; Owl and Rabbit together ate 45 bananas.How many bananas did Piglet eat?
8.) While walking in the park, Nicole and Valerie came to a large round clearing surrounded by a ring of cottonwood trees and decided to count trees. Nicole walked around the clearing and counted all of the trees. Valerie did the same, but started from a different tree. Nicole's 20th tree was Valerie's 7th, while Nicole's 7th tree was Valerie's 94th. How many trees were growing around the clearing?
9.) A group from a summer camp leaves a forest where they have been gathering flowers. They walk in boy-girl pairs, and in each pair the boy has either three times as many or one third as many flowers as the girl has. Is it possible for the whole group to have 2006 flowers?
***I have solved 7 of the 9, but i wont tell you which ones!***
2.) Juan and Candice are using a spring scale to weigh their book bags. When they are weighed separately, the scale shows 3lbs and 2lbs. When they weight them together, the scale shows 6lbs.
"That can't be right," said Candice. "Two plus three doesn't equal six!"
"Don't you see?" answered Juan. "The pointer on the scale is off."
How much do the book bags actually weigh?
3.) Use the fingers of one hand to count as follows: the thumb is first, the index finger is second, and so on to the pinkie which is fifth. Then reverse direction so that the ring finger is sixth, the middle finger is seventh, the index finger is eighth, and the thumb is ninth. Reverse direction again back toward the pinkie with the index finger tenth, and so on. If you continue to count back and forth along the fingers of one hand, which finger will be the 1000th one?
4.) A dot is marked in a circle. (a) Cut the circle into at most three parts so that, by rearranging the parts, you get a circle with its center at the dot. (b) is it possible to do so by cutting the circle into at most two parts?
5.) A brother leaves his house 5 minutes after his sister. If he walks at 1.5 times her speed, how long will it take him to catch up?
6.) The diagram shows the rolling track of a bulldozer, seen from the side. The bottom is in contact with the ground. If the bulldozer moves forward 10cm, how many centimeters does the point marked A move?
7.) Together Winnie the Pooh, Owl, Rabbit, and Piglet ate 70 bananas. Each ate a whole number of bananas, and each ate at least one. Pooh ate more than each of the others; Owl and Rabbit together ate 45 bananas.How many bananas did Piglet eat?
8.) While walking in the park, Nicole and Valerie came to a large round clearing surrounded by a ring of cottonwood trees and decided to count trees. Nicole walked around the clearing and counted all of the trees. Valerie did the same, but started from a different tree. Nicole's 20th tree was Valerie's 7th, while Nicole's 7th tree was Valerie's 94th. How many trees were growing around the clearing?
9.) A group from a summer camp leaves a forest where they have been gathering flowers. They walk in boy-girl pairs, and in each pair the boy has either three times as many or one third as many flowers as the girl has. Is it possible for the whole group to have 2006 flowers?
***I have solved 7 of the 9, but i wont tell you which ones!***